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Finding the Fourth Proportional to 473,915.50, 710,873.25 and 158,372.40

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Solution

The fourth proportional to 473,915.50, 710,873.25 and 158,372.40 is: 237,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,915.50 : 710,873.25 = 158,372.40 : x
  2. Step 2: Convert to fraction form
    473,915.50/710,873.25 = 158,372.40/x
  3. Step 3: Cross multiply
    473,915.50x = 710,873.25 × 158,372.40
  4. Step 4: Simplify right side
    473,915.50x = 112,582,703,770.51
  5. Step 5: Solve for x
    x = 112,582,703,770.51/473,915.50
  6. Step 6: Final answer
    x = 237,558.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.